Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem

Fawzy A. Abd El-Salam, Sobhy Abd El-Bar

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DOI: 10.4236/am.2011.22018                

Abstract

In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c^-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.

Keywords

Post Newtonian Approximation, Geodesic Equation, Restricted Three Body Problem

Conflicts of Interest

The authors declare no conflicts of interest.

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